PrimeOmega
PrimeOmega[n]
gives the number of prime factors counting multiplicities in n.
Details and Options

- Integer mathematical function, suitable for both symbolic and numerical manipulation.
- For a number
with
a unit and
primes, PrimeOmega[n] returns k1+⋯+km.
- PrimeOmega[n,GaussianIntegers->True] gives the number of Gaussian prime factors in n.
- PrimeOmega is a completely additive number theoretic function.
Examples
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Introduced in 2008
(7.0)